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Viewing Version
5
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'irrational'
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| Title of object: |
irrational |
| Canonical Name: |
Irrational |
| Type: |
Definition |
| Created on: |
2001-11-04 06:49:22 |
| Modified on: |
2004-10-13 17:49:43 |
| Classification: |
msc:11J72, msc:11J82 |
| Synonyms: |
irrational=irrational number |
Revision comment (for changes between this and next version):
Added:
- LindemannWeierstrassTheorem, GelfondsTheorem
to related list.
- Example list
- Properties list |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic} |
Content:
An \emph{irrational number} is a real number which cannot be represented as a ratio of two integers. That is, if $x$ is irrational, then
$$ x \ne \frac{a}{b} $$
with $a,b \in \mathbb{Z}$ and $b \ne 0$. |
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